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Finding the Fourth Proportional to 15,324.50, 22,992.29 and 7,538.78

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Solution

The fourth proportional to 15,324.50, 22,992.29 and 7,538.78 is: 11,310.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,324.50 : 22,992.29 = 7,538.78 : x
  2. Step 2: Convert to fraction form
    15,324.50/22,992.29 = 7,538.78/x
  3. Step 3: Cross multiply
    15,324.50x = 22,992.29 × 7,538.78
  4. Step 4: Simplify right side
    15,324.50x = 173,333,816.01
  5. Step 5: Solve for x
    x = 173,333,816.01/15,324.50
  6. Step 6: Final answer
    x = 11,310.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.